A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 24.0 kg · m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is Is = 5.00 105 kg· m2. Neither the spacecraft nor the gyroscope is originally rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 140 rad/s. If the orientation of the spacecraft is to be changed by 25.0°, for what time interval should the gyroscope be operated? Please explain

Distance between the centers of the wheels of a motorcycle : The distance between the centers of the wheels of a motorcycle is 150 cm. The center of mass of the motorcycle, including the rider, is 85.5 cm above the ground and halfway between the wheels. Assume the mass of each wheel is small compared to the bo.. |

The head of a grass string trimmer : The head of a grass string trimmer has 100 g of cord wound in a light, cylindrical spool with inside diameter 3.00 cm and outside diameter 18.0 cm as shown in the figure below. The cord has a linear density of 10.0 g/m. A single strand of the cord.. |

Particle moves on the x axis under the influence of a force : A particle moves on the x axis under the influence of a force, proportional to its distance from the origin, attracting it toward the origin. The particle starts from rest at x = 10 cm and reaches x = 5 cm for the first time after 2 s. Find: a. the p.. |

A solid cube of wood of side : A solid cube of wood of side 2a and mass M is resting on a horizontal surface. The cube is constrained to rotate about an axis AB. A bullet of mass m and speed v is shot at the face opposite ABCD at a height of 4a/3. The bullet becomes embedded in th.. |

What time interval should the gyroscope be operated : A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 24.0 kg · m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is Is = 5.00 105 kg· m2. |

What is average current in load-full-wave rectifier circuit : A full-wave rectifier circuit with a 1K ohm load perates from a 120V (rms) 60-Hz huusehold supply throught a 5-to-1 transformer having a center-tapped secondary winding. It uses two silicon diodes that can be modeled to have 0.7-V drop for all cur.. |

Use the left end of the bar as the fulcrum : A rod of length 0.850 m is attached to a pivot at one end. A force F of 2.30 N is applied to the end of the bar opposite the pivot. The force makes an angle of 65.0o with the bar. (The ? in the figure is the angle for the "line of action" of the f.. |

Cross-section of a hollow cylindrical conductor with radii : The cross-section of a hollow cylindrical conductor with radii a = 0.90 cm and b = 4.70 cm which carries a current 7.00 Amps uniformly spread over its cross-section. Find the magnitude of the magnetic field at a distance of 2.10 cm from the axis. |

A student sits on a rotating stool holding : A student sits on a rotating stool holding two 3.2-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus s.. |

## Find the average induced emf in the loopA 14.8cm diameter loop of wire is initially oriented perpendicular to a 1.3T magnetic field, What is the average induced emf in the loop |

## What is the total charge incident on the atmosphereAssuming that the depth of Earth's atmosphere is 100.0 km, what is the total charge incident on the atmosphere in 177.0 s? Assume that the radius of the surface of the Earth is 6378. km. |

## What is the radius of this orbitSuppose we know that an electron in an excited state has a tangential velocity (v = 3.65 x 10^5 m/s), What is the radius of this orbit |

## Which compressor should be bought for the given conditionA diver is planning to salvage a Spanish galleon located in 200 feet of water. He plans to use a diving suit that will be supplied with air from a hose. Calculate which compressor should be bought by the diver for the given condition |

## What is the minimum oscillation frequency for this circuitA 8.0mH inductor is connected in parallel with a variable capacitor. The capacitor can be varied from 180pF to 320pF. What is the minimum oscillation frequency for this circuit |

## What is the path difference-a pair of slitsA pair of slits, separated by 0.160 mm, is illuminated by light having a wavelength of ? = 566 nm. An interference pattern is observed on a screen 150 cm from the slits. Consider a point on the screen located at y = 1.90 cm from the central maxim.. |

## Calculate the age of the old sample in yearsThe amount of 14C in an old, isolated sample of vegetation is 0.757 that expected from a present day sample with an equivalent carbon content, Calculate the age of the old sample in years |

## What is the x component of resultant forceThe truck slows down uniformly with an acceleration of 5.60 m/s2 for 4.20 s, making skid marks 62.40 m long that end at the tree. With what speed does truck then strike the tree. |

## What''s the truck''s final velocityThe coefficient of static friction between the block and table's surface is &mu s = 1/3. The mass of the block that is hanging down is n1 Kg. The tangent of the angle shown in the figure is tan & theta = n2. What is the minimum value of mass, n3 Kg t.. |

## Find the magnitude of the force of the ground on the boyA 35 N boy pushes down on the ground with a force of 10 N perpendicular to the surface of the ground. What is the magnitude of the force of the ground on the boy |

## Find the power factor when frequency is givenA series circuit consists of a 15-%uF057 resistor, a 35-mH inductor, and a 25-%uF06DF capacitor. If the frequency is 100 Hz the power factor is |

## Determine the orbital period of the planetA planet of mass m = 1.35 × 10^24 kg is orbiting in a circular path a star of mass M = 7.35 × 10^29 kg. What is the orbital period (in earth days) of the planet T-planet |

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